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Finding the Fourth Proportional to 312,276.17, 468,344.17 and 143,634.51

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Solution

The fourth proportional to 312,276.17, 468,344.17 and 143,634.51 is: 215,419.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,276.17 : 468,344.17 = 143,634.51 : x
  2. Step 2: Convert to fraction form
    312,276.17/468,344.17 = 143,634.51/x
  3. Step 3: Cross multiply
    312,276.17x = 468,344.17 × 143,634.51
  4. Step 4: Simplify right side
    312,276.17x = 67,270,385,548.85
  5. Step 5: Solve for x
    x = 67,270,385,548.85/312,276.17
  6. Step 6: Final answer
    x = 215,419.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.